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Fixed point theorems under the interior condition |
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| Authors: | Antonio Jimé nez-Melado Claudio H Morales |
| Institution: | Departamento de Análisis Matemático, Facultad de Ciencias, University of Málaga, 29071 Málaga, Spain ; Department of Mathematics, University of Alabama in Huntsville, Huntsville, Alabama 35899 |
| Abstract: | We show a fixed point theorem for condensing mappings under a new condition of the Leray-Schauder type. We call it the Interior Condition. We also discuss examples that demonstrate the independence of these two conditions. |
| Keywords: | Condensing mappings nonexpansive mappings Leray-Schauder condition interior condition Banach spaces |
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